Open AccessTHE DYNAMICAL BEHAVIOR OF A DISCRETE MODEL OF OPTICAL BISTABLE SYSTEM
Author(s) -
Yang Yuan,
Jiao Dai,
Hongjun Zhang
Publication year - 1994
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.43.699
Subject(s) - attractor , bistability , cascade , discretization , physics , ordinary differential equation , oscillation (cell signaling) , fractal , optical bistability , mode (computer interface) , stability (learning theory) , mathematical analysis , differential equation , nonlinear system , mathematics , nonlinear optics , computer science , quantum mechanics , chemistry , chromatography , machine learning , operating system , biology , genetics
The differential equation with delayed feedback of the optical bistable system is discretized into a two-dimensional mapping. It is shown that the four-fold oscil-lation mode presents instead of single-mode oscillation upon the loss of stability of the system and that the four modes enter chaos with period-doubling cascade independently with the change of parameter A. In addition, a coexisting attractor is found in the window of period-three. The basin of the coexisting attractor is a fractal structure similar to the two-dimensional Mandeblort set.